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112680926160 = 24351183514243
BaseRepresentation
bin110100011110001001…
…1100111101111010000
3101202211221001010200120
41220330103213233100
53321232304114120
6123433115150240
711066224032465
oct1507423475720
9352757033616
10112680926160
1143873499670
1219a08745380
13a819a6594a
14564d28d66c
152de7661140
hex1a3c4e7bd0

112680926160 has 160 divisors (see below), whose sum is σ = 385658316288. Its totient is φ = 26987420160.

The previous prime is 112680926147. The next prime is 112680926173. The reversal of 112680926160 is 61629086211.

It is an interprime number because it is at equal distance from previous prime (112680926147) and next prime (112680926173).

It is a super-2 number, since 2×1126809261602 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38002 + ... + 476241.

Almost surely, 2112680926160 is an apocalyptic number.

112680926160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112680926160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192829158144).

112680926160 is an abundant number, since it is smaller than the sum of its proper divisors (272977390128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112680926160 is a wasteful number, since it uses less digits than its factorization.

112680926160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514353 (or 514347 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 112680926160 in words is "one hundred twelve billion, six hundred eighty million, nine hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 83 88 110 120 132 165 166 176 220 240 249 264 330 332 415 440 498 528 660 664 830 880 913 996 1245 1320 1328 1660 1826 1992 2490 2640 2739 3320 3652 3984 4565 4980 5478 6640 7304 9130 9960 10956 13695 14608 18260 19920 21912 27390 36520 43824 54780 73040 109560 219120 514243 1028486 1542729 2056972 2571215 3085458 4113944 5142430 5656673 6170916 7713645 8227888 10284860 11313346 12341832 15427290 16970019 20569720 22626692 24683664 28283365 30854580 33940038 41139440 42682169 45253384 56566730 61709160 67880076 84850095 85364338 90506768 113133460 123418320 128046507 135760152 169700190 170728676 213410845 226266920 256093014 271520304 339400380 341457352 426821690 452533840 469503859 512186028 640232535 678800760 682914704 853643380 939007718 1024372056 1280465070 1357601520 1408511577 1707286760 1878015436 2048744112 2347519295 2560930140 2817023154 3414573520 3756030872 4695038590 5121860280 5634046308 7042557885 7512061744 9390077180 10243720560 11268092616 14085115770 18780154360 22536185232 28170231540 37560308720 56340463080 112680926160